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Artyom0805 [142]
3 years ago
14

Divide -2x^3-5x^2+4x+2 by x+2

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0
We want to divide -12x³ - 5x² + 4x + 2 by  x+2.

We shall perform the division with two methods: long division and synthetic division.

Long Division:
                 -2x² -  x + 6
       -----------------------------
x+2 | -2x³ - 5x² + 4x + 2
         -2x³ - 4x²
       ------------------------------
                  - x² + 4x + 2
                  - x² - 2x
                ---------------------
                           6x  +  2
                           6x  + 12
                       ---------------
                                 - 10
Answer:  -2x^{2}-x+6- \frac{10}{x+2}

Synthetic Division:
-2 | -2  -5  4    2
             4  2 -12
    -------------------
      -2   -1   6 -10

Answer: -2x^{2} - x + 6 -  \frac{10}{x+2}

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Step-by-step explanation:

Equation at the end of step  1  :

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Equation at the end of step  2  :

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